Question

Diagonal AC$=$6.4 cm, AB $=$ 5 cm and side BC$=$ 6 cm construct a parallelogram

Answer 1

We know in parallelogram opposite sides are equal.

$\Rightarrow$ Draw a line segment $AB=5cm$

$\Rightarrow$ Take $A$ as center with radius $6.4cm$ and draw an arc.

$\Rightarrow$ Take $B$ as center with radius $6cm$ and draw an arc, which cuts of previous arc at point $C.$

$\Rightarrow$ Take $A$ as center with radius $6cm$ and draw an arc.

$\Rightarrow$ Take $C$ as center with radius $5cm$ and draw an arc, which cuts of previous arc at point $D.$

$\Rightarrow$ Join $AC,BC,DC$ and $AD$

$\therefore$ $ABCD$ is a required parallelogram.